What is the Greatest Common Factor of 73025 and 73041?

Greatest common factor (GCF) of 73025 and 73041 is 1.

GCF(73025,73041) = 1

We will now calculate the prime factors of 73025 and 73041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73025 and 73041.

How to find the GCF of 73025 and 73041?

We will first find the prime factorization of 73025 and 73041. After we will calculate the factors of 73025 and 73041 and find the biggest common factor number .

Step-1: Prime Factorization of 73025

Prime factors of 73025 are 5, 23, 127. Prime factorization of 73025 in exponential form is:

73025 = 5² × 23¹ × 127¹

Step-2: Prime Factorization of 73041

Prime factors of 73041 are 3, 97, 251. Prime factorization of 73041 in exponential form is:

73041 = 3¹ × 97¹ × 251¹

Step-3: Factors of 73025

List of positive integer factors of 73025 that divides 73025 without a remainder.

1, 5, 23, 25, 115, 127, 575, 635, 2921, 3175, 14605

Step-4: Factors of 73041

List of positive integer factors of 73041 that divides 73025 without a remainder.

1, 3, 97, 251, 291, 753, 24347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73025 and 73041. The biggest common factor number is the GCF number.
So the greatest common factor 73025 and 73041 is 1.

Also check out the Least Common Multiple of 73025 and 73041